I put a 3-9x32 Burris with stadia wires on the last 3 .375's I had (BRNO, Savage, Mauser). Still have the last one, a wildcat.
I really like that scope - good glass at a good price, however for hunting 'abroad', I'd prefer a 1 or 1 1/2 to about 4X or 5X variable. In the .375 (or any big game round)for shooting to 300 or even 400yards, I see no need for more power than 4X. A straight 2X to 2 1/2X Leuy, which was on my Savage for a while, is all that's really needed. Irons do fine to 200, even 300yards on any big game as well, deer to moose. Scopes merely allow you to pick the bullet's path through tight bush a bit better & are useful for that. Binoculars are for spotting, scopes are for shooting.

When testing loads, it was easy to shoot sub 1" groups with 2 to 2 1/2X scope off a single rear bag, hand holding the forend, resting the hand on the bag as-if shooting offhand. That way, the offhand zero was identical.

I ran 2X and 2 1/2X scopes for years, on my .458's and .375's. They were all that was needed for moose, elk and deer.